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Finding the Fourth Proportional to 687,966.40, 1,030,394.40 and 408,030.40

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Solution

The fourth proportional to 687,966.40, 1,030,394.40 and 408,030.40 is: 611,123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,966.40 : 1,030,394.40 = 408,030.40 : x
  2. Step 2: Convert to fraction form
    687,966.40/1,030,394.40 = 408,030.40/x
  3. Step 3: Cross multiply
    687,966.40x = 1,030,394.40 × 408,030.40
  4. Step 4: Simplify right side
    687,966.40x = 420,432,239,189.76
  5. Step 5: Solve for x
    x = 420,432,239,189.76/687,966.40
  6. Step 6: Final answer
    x = 611,123.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.